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Finding the Fourth Proportional to 1,011.21, 1,516.30 and 462.93

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Solution

The fourth proportional to 1,011.21, 1,516.30 and 462.93 is: 694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.21 : 1,516.30 = 462.93 : x
  2. Step 2: Convert to fraction form
    1,011.21/1,516.30 = 462.93/x
  3. Step 3: Cross multiply
    1,011.21x = 1,516.30 × 462.93
  4. Step 4: Simplify right side
    1,011.21x = 701,940.76
  5. Step 5: Solve for x
    x = 701,940.76/1,011.21
  6. Step 6: Final answer
    x = 694.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.